Sampling

Unit standard(s): 9012

Summary:

In this activity we look at sample size and the importance of selecting a representative sample of the population. The learners will interpret graphical representation of data. The population pyramid graphs of South Africa and the Western Cape are used in this activity. The learners do some data collecting.

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Summarising sampled data

Unit standard(s): 9012

Summary:

The same data pyramids from activity 2 are used in this activity. The learners calculate and analyse measures of central tendency namely mean, median and mode.

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Looking at data for patterns

Unit standard(s): 9012

Summary:

In this activity the learners deal with the correlation between two sets of data. They draw scatter plot graphs and interpret them. Again the sample size is emphasised. The context used is the purchasing of a hair dryer. The relationship between the power of the motor and the cost of the dryer is analysed.

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Questioning

Unit standard(s): 9012

Summary:

In this activity we look at the types of questions that one can use in a survey. Examples are given and the learners generate their own examples. The context used is the setting up of a new salon in a shopping mall.

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Assessment task involving data

Unit standard(s): 9012

Summary:

In this activity the learners will use the skills that they have gain in the previous activities to make a proposal to set up a new salon. It covers all aspects of data handling covered in this unit.

Summarising data in a different way

Unit standard(s): 9012

Summary:

This activity looks at quartiles as a way of interpreting data. The learner will work through examples on how to calculate quartiles and then use the information on hair dryers from the previous activity to work with quartiles.

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Likelihood in daily conversation

Unit standard(s): 9012

Summary:

This activity looks at the probability of an event occurring. A definition of probability is given and the learners work with the probability scale. A spinner is used to generate data. The spinner has colours of different sizes hence the probability of getting a particular colour differs for each colour. The relationship between intuition, experimentation and theoretical probability is explored.

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Predicting likelihood

Unit standard(s): 9012

Summary:

This activity is a continuation of the previous activity. The learners work from theoretical probability and predict what the experimental outcome will be. Spinners are used to collect data.

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Combined events

Unit standard(s): 9012

Summary:

In this activity two spinners are used and the results are combined. Tree diagrams are used to determine the outcomes of these two events and hence the probability of getting those outcomes can be calculated.

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Advertising claims

Unit standard(s): 9012

Summary:

This activity focuses on advertisements and the claims that are made. Learners will be made aware of the Advertising Standards Authority and how they regulate advertisements. In this activity the learners consider different methods of gathering data.

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Maps, scales and distance

Unit standard(s): 9013

Summary:

In this activity the learners work with ratio and proportion in the context of a street map. Skills covered are, giving accurate and clear directions, finding and giving grid references and converting distances on the map into actual distances.

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Plans, scale and salon designs

Unit standard(s): 9013

Summary:

This activity reinforces the skills learnt in the previous activity. The context is the salon and the learners are asked to calculate dimensions of styling, washing and drying stations. They compare floor space needed for these stations and draw conclusions from their calculations.

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Ratio/proportion assessment task

Unit standard(s): 9013

Summary:

This activity is an assessment task covering aspects of all three of the previous activities.

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Making boxes (Part 4) Assessment Task

Unit standard(s): 9013

Summary:

In this activity the learners revisit the previous three activities. They make a box and determine the most economical sized sheet of cardboard needed to manufacture the boxes. This is done as an assessment task.

Managing a corporate design for the salon by tessellating

Unit standard(s): 9013

Summary:

In this activity the learners explore tessellating four different shapes to make patterns.

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Mixing quantities in given ratios

Unit standard(s): 9013

Summary:

This activity deals with the mixing and diluting of products in a particular ratio. Learners have to do various unit conversions. In this activity learners have to make decisions as to the appropriate measuring instrument to use in order to make these dilutions. Estimation and appropriate rounding off are also dealt with.

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Making boxes (Part 1)

Unit standard(s): 9013

Summary:

This is a practical activity in which the learners make boxes from nets. This activity prepares the learners for the next three activities.

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Making boxes (Part 2)

Unit standard(s): 9013

Summary:

In this activity the learners do calculations with the dimensions of the boxes that they made in the previous activity. Dimensions are altered and the effect on surface area is observed. Learners are asked to generalise calculations and develop formulae which are used in the next activity.

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Making boxes (Part 3)

Unit standard(s): 9013

Summary:

In this activity the learners consider the problem of reducing the amount of cardboard wasted in the manufacturing of boxes. This is a practical exercise.

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Advertising claims

Unit standard(s): 7456

Summary:

This activity focuses on planning and budgeting for expected expenditure. Learners will consider Thabisa’s own personal expenditure and try to plan for the expected costs involved in doing relaxer treatments from her home.

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Serious relaxing

Unit standard(s): 7456

Summary:

This activity again focuses on planning and budgeting for expected expenditure but in more detail than the previous activity. Learner’s will consider more aspects of Thabisa’s expenditure and try to plan for the expected costs incurred in her new line of work.

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Buying in bulk

Unit standard(s): 7456

Summary:

Now that Thabisa is treating hair on a regular basis and no longer works at the Spur, she needs to stock up on “Relaxer Remedy Products” more often and is investigating buying the products from a mass discount store. In this activity, learners will compare product prices and other costs involved in order to determine how much Thabisa will save if she buys most of her stock at “Budget Hyper” rather than buying all of the stock at her local spaza.

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Buying a washing machine & tumble dryer

Unit standard(s): 7456

Summary:

The context of buying a washing machine and tumble dryer, for the purposes of speeding up the process of washing and drying the towels that Thabisa uses for her clients, is used to introduce different purchase options. In this activity, we look at two options that Thabisa is considering in order to buy the washing machine and tumble dryer: using a stokvel saving scheme, and paying the store a hire-purchase price for the washing machine and tumble dryer. In the next activity we will consider two other options: a loan calculated using simple interest (borrowing money from a friend) and a loan calculated using compound interest.

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Buying a washing machine & tumble dryer continued

Unit standard(s): 7456

Summary:

This activity follows on from the previous activity which deals with payment options for purchasing a washing machine and tumble dryer. In this activity we will look at loans: one of which is a simple interest calculation and one of which is a compound interest calculation.

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Sorting out monthly expenses

Unit standard(s): 7456

Summary:

This activity focuses on types of expenses that one incurs during a month and helps to categorise these expenses into essential and nonessential expenses. The aim is to help learners develop a way of budgeting their finances.

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Helping Thabisa make a budget statement

Unit standard(s): 7456

Summary:

This activity focuses on income and expenditure on a more personal level. Through knowledge of Thabisa’s income and expenses, learners are asked to fill in certain details onto a budget and to estimate budget figures for the next month.

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Choosing a bank account

Unit standard(s): 7456

Summary:

This activity focuses on investigating which of the three listed bank accounts will be best suited to Thabisa’s needs. Learners will do various calculations in order to investigate the fees for different transactions with each of the listed bank accounts; analyse what kinds of transactions Thabisa will be making and how often she will make these transactions; and finally make a recommendation to Thabisa about which bank account is more suitable for her needs and justify this recommendation.

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Job offers

Unit standard(s): 7456

Summary:

In this activity, learners are asked to examine 2 different salary structures outlined on the handout. The salary structures are slightly different and learners will be asked to do a series of calculations using the 2 different salary structures. Based on these calculations, the learners are asked to draw conclusions about the salary structures and make a recommendation as to which job offer they feel Thabisa should accept.

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VAT, UIF and TAX

Unit standard(s): 7456

Summary:

This activity focuses on types of expenses that one incurs during a month and helps to categorise these expenses into essential and nonessential expenses. The aim is to help learners develop a way of budgeting their finances.

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Reworking the budget

Unit standard(s): 7456

Summary:

This activity is an extension from activity 7 where we introduced the budget statement. In this activity learners apply their knowledge about budgets in order to help Thabisa to formulate new budget figures for October 2005, when she is working at her new job, so that she can determine whether or not she can survive financially under these new conditions.

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Making a business plan

Unit standard(s): 7456

Summary:

This activity is designed as an assessment task. Learners are asked to draw up a business plan for cutting and styling hair. They will need to gather information about the costs involved in setting up, make a price list and draw up a budget showing how they intend to cover their expenses and make a sustainable profit.

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